1251335161776 has 160 divisors (see below), whose sum is σ = 3774628408320. Its totient is φ = 349799703552.

The previous prime is 1251335161771. The next prime is 1251335161787. The reversal of 1251335161776 is 6771615331521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1251335161771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6295206 + ... + 6490938.

It is an arithmetic number, because the mean of its divisors is an integer number (23591427552).

Almost surely, 2^{1251335161776} is an apocalyptic number.

1251335161776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251335161776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887314204160).

1251335161776 is an abundant number, since it is smaller than the sum of its proper divisors (2523293246544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1251335161776 is a wasteful number, since it uses less digits than its factorization.

1251335161776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196163 (or 196157 counting only the distinct ones).

The product of its digits is 793800, while the sum is 48.

The spelling of 1251335161776 in words is "one trillion, two hundred fifty-one billion, three hundred thirty-five million, one hundred sixty-one thousand, seven hundred seventy-six".